Figure 6. Estimated Density Plot for Failure Times Data of Air-Conditioned System
From Table 5, we may see that BL2PFD provides better fit for the above data set as it provides minimum AIC, BIC, CAIC, HQIC.
ConclusionWe have proposed a new distribution called Beta Lehmann-2 Power function distribution (BL2PFD). This distribution can have applications in the fields of reliability, economics, actuaries and survival analysis. We have studied the properties of the new distribution including moments, survival function, hazard function, inverse moments, conditional moments, Lorenz curve, incomplete moments and order Statistics. We have also characterized the distribution by conditional variance. Data sets from different scenarios of applied sciences are used to show the efficiency of the proposed model over the already available models. It is hoped that the findings of this study will be useful for researchers in different field of applied sciences.